# Using Algebraic Functions Chapter Exam

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### Page 1

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Question 1
1.
Use f(x) and g(x) to find g(x) - f(x).

Here, f(x) = -x + 5 and g(x) = 3x + 2.

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Question 2
2.
What is the domain of the function *f(x)* = *x*?

#### Question 3 3. Which of the following statements is true?

#### Question 4 4. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 5 5. A value that a function will get infinitely close to, but never reach is called which one of the following?

### Page 2

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Question 6
6.
Find the domain of f(g(x)), if:

f(x) = 1/x

g(x) = 1/(x+4)

#### Question 7 7. Which of the following equations represents an exponential decay?

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Question 8
8.
Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

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Question 9
9.
Manipulate the following equation to isolate the y variable.

x - 3y = 12

#### Question 10 10. Which type of transformation is shown here?

### Page 3

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Question 11
11.
What is the range of the function: *g*(*x*) = |x| + 1

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Question 12
12.
Find the inverse of the following function:

f(x) = 2x + 1

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Question 13
13.
Find the domain of f(f(x)) if

f(x) = (x+1)/x

#### Question 14 14. Which of the following statements best describes the 'composite' of two functions?

#### Question 15 15. Use the graph to find f(f(2)).

### Page 4

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Question 16
16.
Solve the following equation for c.

2a - 3b + c - 3 = 6a + 4b - 12

#### Question 17 17. Which function would NOT pass the horizontal line test?

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Question 18
18.
Write the composite function *f(g(x))* when *f(x)* = *x*^2 + *x* + 1 and *g(x)* = *x* + 1.

#### Question 19 19. Which equation is NOT equivalent to 2x + 4y = 6?

#### Question 20 20. Which transformation involves changing the size of an object?

### Page 5

#### Question 21 21. What notation do you use to show that you have an inverse function?

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Question 22
22.
Find the domain of the inverse function of:

f(x) = 1/(x-3)

#### Question 23 23. What is the mathematical notation for this translation? The maroon figure is the preimage and the blue figure is the image.

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Question 24
24.
Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

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Question 25
25.
Find the inverse function of:

y = 1/x

### Page 6

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Question 26
26.
Solve for x and y.

x + y = 5

x - y = -1

#### Question 27 27. Which statement is true of fixed costs?

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Question 28
28.
Use f(x) and g(x) to find f(x) + g(x).

f(x) = -x + 5 and g(x) = 3x + 2

#### Question 29 29. How do you determine whether a function is an inverse of another function?

#### Question 30 30. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

#### Using Algebraic Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!